Inverse Function Theoremlocal existence resultWe introduce different notions of invertibility for generalized functions in the sense of Colombeau. Several necessary conditions for (left, right) invertibility are derived, giving rise to the concepts of compactly asymptotic injectivity and surjectivity. We ...
The inverse function theorem of Nash and Moser Sup. 5, 599 (1972); Zehnder,E.: Generalized implicit function theorems with applications to some small divisor problems. Commun. pure appl. math. 27,... F Sergeraert - 《Bull.soc.math.france》 被引量: 5发表: 1976年 Abstract factorization th...
We will now derive the generalized inverse formulation for the combined parameter and state estimation problem starting from Bayes' theorem. Further, the resulting Euler–Lagrange equations are derived and we discuss some solution methods which also allow for the estimation of poorly known model ...
integrals, methods of contour integration, Cauchy's integral theorem, Cauchy's integral formula, Laurent series, residues, the residue theorem, and Riemann ... J Bonnar 被引量: 0发表: 0年 加载更多来源期刊 Brac University 研究点推荐 Generalized inverse (g-inverse) interpolation polynomiyal gene...
GMM的全名是Generalized Method of Moments，也就是广义矩估计。只看这个名字的话，如果去掉「广义」这个词，可能学过本科统计的人都认识，就是「矩估计」。矩估计是什么呢？简单的说，就是用样本矩代替总体矩进行统计推断的方法。一个最基础的例子是正态总体的参数估计问题。如果xi∼N(μ,σ2)，如何估计μ和...
The generalized support function and its applications 来自 ResearchGate 喜欢 0 阅读量: 46 作者: DL Ren 摘要: In this paper, we give a sufficient condition (Theorem) in order that one domain D1 bounded by a C2-smooth boundary can be enclosed in, or enclose, another domain D0 bounded ...
This paper presents an explicit expression for the generalized inverse A (2) T , S . Based on this, we established the characterization, the representation theorem and the limiting process for A (2) T , S . As an application, we estimate the error bound of the iterative method for approx...
Our theorem contains or extends so... Zhang, F,Zhang, Q - 《IEEE Transactions on Automatic Control》 被引量: 96发表: 2006年 Inequalities and identities for generalized matrix functions Let χ be a character on the symmetric group S n, and let A = ( a ij) be an n-by- n matrix. ...
Multi-objective Banach Fixed-Point Theorem ,这个Multi-objective Banach Fixed-Point Theorem|巴拿赫不动点定理 是个神器,主要证明了如果我们对任意Q函数叠加无限多次算子T,则最终得到的Q会收敛到它的不动点上。正巧上面1证明了不动点就是最优的Q函数,因此得证这个新的算子是收敛的。 算法流程 在本方法中Q函数...
This projection-slice theorem is employed in the computation of the optimum (Wiener) filter for the reconstruction of the object function describing an ... George,A.,Tsihrintzis,... - 《Signal Processing》 被引量: 34发表: 1993年 Inverse scattering theory foundations of tomography with diffracti...